10100010314131 has 2 divisors, whose sum is σ = 10100010314132. Its totient is φ = 10100010314130.

The previous prime is 10100010314113. The next prime is 10100010314183. The reversal of 10100010314131 is 13141301000101.

Together with previous prime (10100010314113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100010314131 - 2²⁵ = 10099976759699 is a prime.

It is a super-2 number, since 2×10100010314131² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100010314101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005157065 + 5050005157066.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005157066).

Almost surely, 2^{10100010314131} is an apocalyptic number.

10100010314131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010314131 is an equidigital number, since it uses as much as digits as its factorization.

10100010314131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10100010314131 its reverse (13141301000101), we get a palindrome (23241311314232).

The spelling of 10100010314131 in words is "ten trillion, one hundred billion, ten million, three hundred fourteen thousand, one hundred thirty-one".